SOLUTION: the longer leg of a right triangle is 1 inch longer than the shorter leg. the hypotenuse is 9 inches longer than the shorter leg. find the side lengths of the triangle.

Question 1070632: the longer leg of a right triangle is 1 inch longer than the shorter leg. the hypotenuse is 9 inches longer than the shorter leg. find the side lengths of the triangle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the longer leg of a right triangle is 1 inch longer than the shorter leg. the hypotenuse is 9 inches longer than the shorter leg. find the side lengths of the triangle.
------------------
shorter leg:: x
longer leg:: x+1
hypotenuse:: x+9
------------------------
x^2 + (x+1)^2 = (x+9)^2
-----
x^2 + x^2+2x+1 = x^2 + 18x + 81
--------
x^2-16x-80 = 0
(x-20)(x+4) = 0
Positive solution:
x = 20 in (shorter)
x+1 = 21 in (longer)
x+9 = 29 in (hypotenuse)
-------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS
The longer leg of a right triangle is 1 inch longer than the shorter leg. The hypotenuse... (answered by jorel555)

The hypotenuse of a right triangle is 5 inches long. The longer leg is 1 inch longer... (answered by ikleyn)

the hypotenuse of a right triangle is 1 inch longer than the longer leg. the shorter leg... (answered by Cromlix)

The hypotenuse of a right triangle is 5 inches long. The shorter leg is 1 inch shorter... (answered by rfer)

The shorter leg of a right triangle is 9 meters. The hypotenuse is 1 meter longer than... (answered by Alan3354)

The shorter leg of a right triangle is 9 inches shorter than the longer leg. The... (answered by Cromlix)

The shorter leg of a right triangle is 5 meters. The hypotenuse is 1 meter longer than... (answered by amarjeeth123)

The hypotenuse of a right triangle is 8 inches longer than the shorter leg. The longer... (answered by solver91311)

The hypotenuse of a right triangle is 9 cm longer than the longer leg. The shorter leg is (answered by josgarithmetic)